Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a
quadratic function of the rectangle's width, A(w). What does the second coordinate of the vertex of the quadratic function.
A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area

Answers

Answer 1

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

Answer 2

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

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Related Questions

TO
Which graph represents the function f(x) = -1x1 – 2?

Answers

Answer:

Step-by-step explanation:

If Jerry exceeds the speed limit of 65 miles per hour, he runs the risk of receiving a speeding ticket. If represents Jerry's speed, which inequality represents this situation?

A.x _65
C.x 65

Answers

Answer: Choice D) x > 65

If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.

The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).

WILL GIVE BRAINLIEST!!! Write the equation represented by the table.

Answers

Answer: y = 2x+12

Step-by-step explanation:

y = mx + b

the Ys are going down by 6 each time

the Xs are going adding up by 3 each time

radio: 6/3 = 2

that's our slope

--------------------------------

when x is 0 then the y will be our b

which is 12

all together

y = 2x+12

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of eight adult friends, what is the probability of the following? (Round your answers to three decimal places.)
A button hyperlink to the SALT program that reads: Use SALT.
(a) no one has done a one-time fling
(b) at least one person has done an one time fling
(c) no more than two people have done a one time fling

Answers

Answer:

..

Step-by-step explanation:

37,422 rounded to the nearest thousand

Answers

37,000 is the answer

Answer:

37,000

Step-by-step explanation:

rounds to 37,000

1,052.785 rounded to the nearest hundredths place

Answers

Hello! The correct answer is 1,052.79.

You may remember the rounding rule..0-4 goes down, 5-9 goes up..

✨ You underline the "8" in "1,052.785". ✨

We can see, the number behind it is "5", which means 8 goes up once.

**ONLY** the 8 goes up, everything stays.

⌨ Which makes it 1,052.79! ⌨

Therefore, your answer is 1,052.79, I hope this helps you.

✔ Please give me brainiest!! ✔

®

simplify this expression; -15k-1+12+2k​

Answers

Answer: -13k+11

Step-by-step explanation:

Combine like terms

-15k+2k=-13k

-1+12=11

Solve for n. 8^ 12÷8^3=8^n​

Answers

Answer:

9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]

Step-by-step explanation:

Which of these describes the product of -28 and 5? A negative integer A positive fraction A negative fraction A positive integer​

Answers

A negative integer, so A

Explanation
If you multiply -28 times 5 you get -140, so it’s a negative integer.

Explain how to simplify a ratio. Be sure to include an example to support your response

Answers

A ratio is an expression used to compare two quantities. A simplified ratio can be taken as is, but if a ratio has not yet been simplified, you should do so to make the quantities easier to compare and understand. In order to simplify a ratio, you divide both terms (both sides of the ratio) by the same number.

Tell whether this figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.

**Note: The arrows show that the lines will keep going until they meet.
GIVING BRAINLIEST

Answers

Answer:

They will make 1 triangle the lines will keep going until they meet

From the given triangle only one triangle can be made.

What is geometry?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the unformed triangle is given in the image.

The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.

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Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
7/12 of a carton. How much more yogurt did they eat this week compared to last week?

Answers

Answer: 5/24

Step-by-step explanation:

The problem is 7/12-3/8. I got a common denominator of 24, then multipled 8 and 3 by 3, and 7 and 12 by 2. The problem is now 14/25-9/24, which equals 5/24

17-32/4^2 • 3+6 HELP ik its 17 but how do i show the work ??

Answers

Step-by-step explanation:

1. 4^2 = 16

2. 32/16 = 2

3. 2*3 = 6

4. 17-6=11

5. 11 + 6 = 17

The answer is 17

At 7:00AM the temperature was -4ºF. At 9:00AM the temperature was 8 degrees warmer. What was the temperature at 9:00AM?

Answers

Answer:

4ºF

Step-by-step explanation:

-4 + 8 = 4

Is the function even, odd, or neither?

Answers

Answer:

A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd

Step-by-step explanation:

hoy tama na yan meron pang bukas, tulog na
get a goodnight sleep okay? labyuuuu

Answers

i can’t read this language

Answer:

okay cge good night pa points lang thank you

Which of the following is a rational number?
A
136
B.
-V12
lo
D
TT

Answers

TT is your rational number because either way it’s a TT or A

Use a factor tree to write the prime factorization of 80.

Answers

80
2 40
2 2 20
2 2 2 2 10
2 2 2 2 2 5,
2^5*5

i think that’s how you would do it

A train travels at an average rate of 40 miles per hour. How many hours does it take the train to travel 2760 miles?

Answers

Answer:the correct answer is 69 hours

Step-by-step explanation:

Answer:

69 hours

Step-by-step explanation:

GIVEN:

Unit rate of 40 mphOverall miles of 2760

Using this information, all we have to do is divide 2760 by 40! This will give us an estimate of how many miles this train should take to travel 2760 miles.

[tex]\frac{2760}{40} = 69[/tex]

Hope I was of assistance! #SpreadTheLove <3

اور مدنی
Sin A /1-cosA= cot1/2
عورت سے​

Answers

Please re-explain? I don’t understand.?

Calculate perimeter.

Answers

Answer:

152

Step-by-step explanation:

2. Javier used a microscope to measure the diameter
of a grain of sand. He found that the diameter of the
grain of sand was 0.00007 centimeters. How is this
number written in scientific notation?
A. 7x 104
C. 7 x 10-6
B. 7 x 105
D. Not Here

Answers

Answer:

7 x 10^-5

Step-by-step explanation:

0.00001 is 1 x 10^-5 so multiply that by 7

Answer:

B. 7 x [tex]10^5[/tex] or not here

Step-by-step explanation:

if B. is [tex]10^5[/tex] then it is B. if it is 105 then it is not here

Hope this helped!!

What is the mode of the following data values?
54, 78, 16, 26, 16
O A. 26
O B. 38
O C. 16
O D. 48

Answers

Answer: C. 16

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.

Answer:

C

Step-by-step explanation:

because in the given data the number which is 16 is repeated twice so it means it is the mode. Because when we say mode it is the most used number im the given date

3. Which ordered pair is a solution of the equation y = x – 2? (1 point) (3, 1) (1, 3) (–1, 3) (3, –1)

Answers

The answer is (3,1)

You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?

Answers

Answer: 450 oz

Step-by-step explanation: multiply

Answer:

You can make 18 servings.

Step-by-step explanation:

what is the inverse function of y=x^2+4

Answers

Answer:

  does not exist

Step-by-step explanation:

The inverse relation is found by swapping x and y, then solving for y.

  x = y^2 +4

  x -4 = y^2

  y = ±√(x -4)

This is the inverse relation. Since it is double-valued, it is not a function.

__

The function given does not pass the horizontal line test, so there is no inverse function.

which angles are corresponding angles?

Answers

Answer:

<3 and <11

Step-by-step explanation:

Julie recently drove to visit her parents who live 567 miles away. On her way there her average speed was 16 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 18 hours driving, find the two rates.

Answers

Answer:

Was there some missing information as if you do 16*18 you get 288 miles

Step-by-step explanation:

Find the common ratio of the geometric sequence –13, 117, -1053, ...

Answers

Answer: -19

Step-by-step explanation:

Use the geometric ratio r=a2/a1

So 117/-13 = -9

-13*-9= 117

117*-9= -1053

The ratio of boys to girls in Hebron’s Chorus is 2:7. Part A: If there are 8 boys, how many girls are there in Hebron’s Chorus? Show your work.

Answers

Answer:

let the no. of girls be x

now

2/7=8/x

or,2×x=7×8

or,2x=56

or,x=56÷2

or,x=28

so the no. of girls is 28

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